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Finding the Third Proportional to 105,552 and 157,801.50

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Solution

The third proportional to 105,552 and 157,801.50 is: 235,915.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,552 : 157,801.50 = 157,801.50 : x
  2. Step 2: Convert to fraction form
    105,552/157,801.50 = 157,801.50/x
  3. Step 3: Cross multiply
    105,552x = 157,801.50 × 157,801.50
  4. Step 4: Simplify right side
    105,552x = 24,901,313,402.25
  5. Step 5: Solve for x
    x = 24,901,313,402.25/105,552
  6. Step 6: Final answer
    x = 235,915.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.